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66419216 = 24231011787
BaseRepresentation
bin1111110101011…
…1101000010000
311121222110000222
43331113220100
5114000403331
610331332212
71434361013
oct375275020
9147873028
1066419216
1134545816
121a2b1068
13109b6a16
148b6d37a
155c6eb7b
hex3f57a10

66419216 has 40 divisors (see below), whose sum is σ = 135687744. Its totient is φ = 31433600.

The previous prime is 66419209. The next prime is 66419233. The reversal of 66419216 is 61291466.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36275 + ... + 38061.

Almost surely, 266419216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66419216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67843872).

66419216 is an abundant number, since it is smaller than the sum of its proper divisors (69268528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66419216 is a wasteful number, since it uses less digits than its factorization.

66419216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1913 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 66419216 is about 8149.7985251170. The cubic root of 66419216 is about 404.9778294016.

The spelling of 66419216 in words is "sixty-six million, four hundred nineteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 23 46 92 101 184 202 368 404 808 1616 1787 2323 3574 4646 7148 9292 14296 18584 28592 37168 41101 82202 164404 180487 328808 360974 657616 721948 1443896 2887792 4151201 8302402 16604804 33209608 66419216